Profit Maximization – Linear Programming

A company manufactures two types of products, A and B. Each unit of A requires 3 hours of machine time and 2 hours of labor, while each unit of B requires 2 hours of machine time and 4 hours of labor. The machine has a maximum available time of 60 hours, and labor is limited to 50 hours per week. If the profit per unit of A is 40 rupees and per unit of B is 50 rupees, how many units of each product should be produced weekly to maximize profit? Formulate this problem as a linear programming problem.